1
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The line integral of function $$F=yzi,$$ in the counterclockwise direction, along the circle $${x^2} + {y^2} = 1$$ at $$z=1$$ is
A
$$ - 2\pi $$
B
$$ - \pi $$
C
$$ \pi $$
D
$$2\pi $$
2
GATE EE 2011
MCQ (Single Correct Answer)
+1
-0.3
The two vectors $$\left[ {\matrix{ {1,} & {1,} & {1} \cr } } \right]$$ and $$\left[ {\matrix{ {1,} & {a,} & {{a^2}} \cr } } \right]$$ where $$a = {{ - 1} \over 2} + j{{\sqrt 3 } \over 2}$$ are
A
Orthonormal
B
Orthogonal
C
Parallel
D
Collinear
3
GATE EE 2010
MCQ (Single Correct Answer)
+1
-0.3
Divergence of the $$3$$ $$-$$ dimensional radial vector field $$\overrightarrow r $$ is
A
$$3$$
B
$${1 \over r}$$
C
$$\widehat i + \widehat j + \widehat k$$
D
$$3\left( {\widehat i + \widehat j + \widehat k} \right)$$
4
GATE EE 2007
MCQ (Single Correct Answer)
+1
-0.3
Divergence of the vector field $$v\left( {x,y,z} \right) = - \left( {x\,\cos xy + y} \right)\widehat i + \left( {y\,\cos xy} \right)\widehat j + \left[ {\left( {\sin {z^2}} \right) + {x^2} + {y^2}} \right]\widehat k\,\,$$
A
$$2z\,\cos {z^2}$$
B
$$\,\sin \,xy + 2z\,\cos {z^2}$$
C
$$x\,\sin xy - \cos z$$
D
none of these
GATE EE Subjects
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Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12